I'll set it up . . .
A pension fund manager decides to invest a total of at most $39 million
in Treasury Bonds paying 4% annual interest and in Mutual Funds paying 8% annual interest.
He plans to invest at least $5 million in Trasury Bonds and at least $10 million in Mutual Funds.
Treasury Bonds have an initial fee of $100 per million dollars, while the fee for Mutual Funds is $200 per million.
The fund manager is allowed to spend no more than $5000 on fees.
How much should be invested in each to maximize annual interest?
What is the maximum annual interest?
Let = amount invested in Treasury Bonds (in millions of dollars):
Let = amount invested in Mutual Funds (in millions of dollars): .
Total invested, $39 million: .
Invest at least $10 million in Mutual Funds: .
Invest at least $5 million in Treasure Bonds: .
Fee for Treasury Bonds:
Fee for Mutual Funds:
Maximum fee, $5000: .
Maximize interest: .